Solve 53/8div23/4

$$5 \frac { 3 } { 8 } \div 2 \frac { 3 } { 4 }$$

Evaluate

$$\frac{43}{22}\approx 1.954545455$$

Solution Steps

Divide \frac{5\times 8+3}{8} by \frac{2\times 4+3}{4} by multiplying \frac{5\times 8+3}{8} by the reciprocal of \frac{2\times 4+3}{4}.

$$\frac{\left(5\times 8+3\right)\times 4}{8\left(2\times 4+3\right)}$$

Cancel out 4 in both numerator and denominator.

$$\frac{3+5\times 8}{2\left(3+2\times 4\right)}$$

Multiply 5 and 8 to get 40.

$$\frac{3+40}{2\left(3+2\times 4\right)}$$

Add 3 and 40 to get 43.

$$\frac{43}{2\left(3+2\times 4\right)}$$

Multiply 2 and 4 to get 8.

$$\frac{43}{2\left(3+8\right)}$$

Add 3 and 8 to get 11.

$$\frac{43}{2\times 11}$$

Multiply 2 and 11 to get 22.

$$\frac{43}{22}$$

Factor

$$\frac{43}{2 \cdot 11} = 1\frac{21}{22} = 1.9545454545454546$$